Just use already-mentioned my sub name { ... } instead or sub name { ... } and you will have an actual private inner sub without the drawbacks.

thanks for emphasize it, I did overlook 'my sub ..', I did not know it is valid, I tried it, but for recursion subs it complains not defined.

You haven't shown your code but it's a fair guess that you haven't used __SUB__ like the documentation tells you to do:

my sub baz {
    __SUB__->();    # calls itself
}
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